2

Many causes:
Your age is a little concerning for these symptoms. If you were in your teens, these types of activities can cause headaches anytime with exertion. If you are having these symptoms now at your age, i would recommend an MRI of the brain and evaluation by your family dr. As well as a neurologist.
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3

I'm sorry:
I apologize, I don't think too many of us will be able to help you because this isn't enough information to go by to adequately provide you with information that may be helpful. I'm not sure what you mean by "jumping" at all, and would need to know when it occurs, what you're doing when it happens, is it actually painful, are there other symptoms with it? Maybe rephrase it with more information?
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5

Technically yes BUT:
Just because something is possible doesn't mean probable! Certainly if someone jumped from a high enough distance, the landing force could cause injury, but a lot of parachutists who land at 20 to 30 miles per hour do just fine, without injury. Acrobats do leaps and twists without injury.
So, typically in normal running and jumping, the body can accommodate and protect us.
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6

Where is compression:
Cervical Myelopathy often comes from cervical spinal cord compression and gives you numb hands among many other things. Eye and lip muscles are innervated by the 7th or Facial nerve. The nerve is located in the brainstem far above the cervical spine. However, if the compression is large enough and long enough this is possible. What is the reason for your myelopathy?
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7

Head trauma. :
Facial twitching is not an expected symptom from head trauma. It is most likely unrelated to the head trauma. If it continues seek physician evaluation. If you were knocked out, (lost consciousness) have vision changes, vomiting, are confused, or have a progressively worsening headache than
you should seek immediate physician evaluation.
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